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3 years ago

Why are the solutions to the proportions 40/8 = x/10 and x/40 = 10/8 the same?

Mathematics

2 answers:

Finger [1]3 years ago

8 0

Answer:

b .

tha answer is b !

romanna [79]3 years ago

4 0

Answer:

Both proportions are equivalent.

Step-by-step explanation:

We have been given two proportions $\frac{40}{8}=\frac{x}{10}$ and $\frac{x}{40}=\frac{10}{8}$ . We are asked to find why the solutions to our given proportions are equal.

We can solve proportions by cross multiplying them.

After cross multiplying our both proportions we will get same equation that is:

$40*10=8*x$

$400=8x$

$8*x=40*10$

$8x=400$

Since we get same equation after cross multiplying both proportions, therefore, the solutions to the given proportions would be same.

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Part ion even know of the hardest test

ladessa [460]

Given:

The equation of a line is:

$y=-\dfrac{5}{7}x+2$

A line passes through the point (-5,-3) and perpendicular to the given line.

To find:

The equation of the line.

Solution:

Slope intercept form of a line is:

$y=mx+b$ ...(i)

Where, m is the slope and b is the y-intercept.

We have,

$y=-\dfrac{5}{7}x+2$ ...(ii)

On comparing (i) and (ii), we get

$m=-\dfrac{5}{7}$

We know that the product of slopes of two perpendicular lines is always -1.

$m_1\times m_2=-1$

$-\dfrac{5}{7}\times m_2=-1$

$m_2=\dfrac{7}{5}$

Slope of the required line is $\dfrac{7}{5}$ and it passes through the point (-5,-3). So, the equation of the line is:

$y-y_1=m_2(x-x_1)$

$y-(-3)=\dfrac{7}{5}(x-(-5))$

$y+3=\dfrac{7}{5}(x+5)$

Using distributive property, we get

$y+3=\dfrac{7}{5}(x)+\dfrac{7}{5}(5)$

$y+3=\dfrac{7}{5}x+7$

$y=\dfrac{7}{5}x+7-3$

$y=\dfrac{7}{5}x+4$

Therefore, the equation of the line is $y=\dfrac{7}{5}x+4$ . Hence, option A is correct.

4 0

3 years ago

-7r^2= -329 square root property

Genrish500 [490]

9514 1404 393

Answer:

r = ±√47

Step-by-step explanation:

-7r^2 = -329 . . . . given

r^2 = 47 . . . . . divide both sides by -7 (multiplication property of equality)

r = ±√47 . . . . square root both sides (square root property of equality)

5 0

3 years ago

Read 2 more answers

in a town election, 5985 people voted. this is 63% of the town's population who are registered to vote. How many people are regi

dangina [55]

Answer:

9500

Step-by-step explanation:

If r represents the number of registered voters, we are given that ...

5985 = 0.63·r

r = 5985/0.63 = 9500

9500 people are registered to vote.

5 0

3 years ago

If 25% of 150 is equal to 700 percent of n, then what number is n equal to?

Mrrafil [7]

Step-by-step explanation:

"Of" means multiplication, and percent means out of 100.

25/100 × 150 = 700/100 × n

75/2 = 7n

n = 75/14

n ≈ 5.357

3 0

3 years ago

Consider the dot plot below. Of the following statements, which two characteristics of this dot plot make the median a better ch

hammer [34]

The two characteristics that makes the median a better choice are: A. The data are skewed and there are outliers.

<h3>What Characteristics of a Dot Plot Makes Median a Better Choice?</h3>

In a data distribution, the median is a better choice to use to describe the data over the mean when an outlier exist and the data is skewed.

IN the dot plot given below, the data has an outlier of 10 while the data distribution is also screwed, this makes the median a better choice.

Therefore, the answer is: A. The data are skewed and there are outliers.

Learn more about the median on:

brainly.com/question/16800683

#SPJ1

6 0

2 years ago